Coming Events

SLSM

Date/Time: 
Monday, October 9, 2017 - 11:30 to 13:00
Venue: 
SMS Seminar Room
Speaker: 
Antar Bandyopadhyay
Affiliation: 
Indian Statistical Institute, New Delhi
Title: 
Random Graphs

This is a Short Lecture Series in Mathematics (SLSM) consisting of 4 lectures of 90 minutes each. This is the first lecture in this series.

Abstract: The first half of the mini course will be an introducing to the two classical models of random graphs (a.k.a. Erdős-Rényi random graphs) and discuss the phenomenon of phase transition. We will also discuss thresholds for monotonic properties with examples including connectivity threshold and sub-graph containment threshold.

In the second half of the course we will consider other kind of random graphs. In particular, we will discuss various models for complex networks, including Albert-Barabási preferential attachment models. We will discuss "scale-freeness", asymptotic degree distribution and "small-world phenomenon". Properties of super and sub-linear preferential attachment models and some recent developments in de-preferential attachment models will also be discussed.

If time permits we will also introduce the random geometric graphs and discuss asymptotic of the connectivity threshold.

SLSM

Date/Time: 
Tuesday, October 10, 2017 - 11:30 to 13:00
Venue: 
SMS Seminar Room
Speaker: 
Antar Bandyopadhyay
Affiliation: 
Indian Statistical Institute, New Delhi
Title: 
Random Graphs (2nd Lecture)

This is a Short Lecture Series in Mathematics (SLSM) consisting of 4 lectures of 90 minutes each. This is the second lecture in this series.

Abstract: The first half of the mini course will be an introducing to the two classical models of random graphs (a.k.a. Erdős-Rényi random graphs) and discuss the phenomenon of phase transition. We will also discuss thresholds for monotonic properties with examples including connectivity threshold and sub-graph containment threshold.

In the second half of the course we will consider other kind of random graphs. In particular, we will discuss various models for complex networks, including Albert-Barabási preferential attachment models. We will discuss "scale-freeness", asymptotic degree distribution and "small-world phenomenon". Properties of super and sub-linear preferential attachment models and some recent developments in de-preferential attachment models will also be discussed.

If time permits we will also introduce the random geometric graphs and discuss asymptotic of the connectivity threshold.

SLSM

Date/Time: 
Wednesday, October 11, 2017 - 16:30 to 18:00
Venue: 
SMS Seminar Room
Speaker: 
Antar Bandyopadhyay
Affiliation: 
Indian Statistical Institute, New Delhi
Title: 
Random Graphs (3rd Lecture)

This is a Short Lecture Series in Mathematics (SLSM) consisting of 4 lectures of 90 minutes each. This is the third lecture in this series.

Abstract: The first half of the mini course will be an introducing to the two classical models of random graphs (a.k.a. Erdős-Rényi random graphs) and discuss the phenomenon of phase transition. We will also discuss thresholds for monotonic properties with examples including connectivity threshold and sub-graph containment threshold.

In the second half of the course we will consider other kind of random graphs. In particular, we will discuss various models for complex networks, including Albert-Barabási preferential attachment models. We will discuss "scale-freeness", asymptotic degree distribution and "small-world phenomenon". Properties of super and sub-linear preferential attachment models and some recent developments in de-preferential attachment models will also be discussed.

If time permits we will also introduce the random geometric graphs and discuss asymptotic of the connectivity threshold.

SLSM

Date/Time: 
Thursday, October 12, 2017 - 15:30 to 17:00
Venue: 
SMS Seminar Room
Speaker: 
Antar Bandyopadhyay
Affiliation: 
Indian Statistical Institute, New Delhi
Title: 
Random Graphs (4th Lecture)

This is a Short Lecture Series in Mathematics (SLSM) consisting of 4 lectures of 90 minutes each. This is the final lecture in this series.

Abstract: The first half of the mini course will be an introducing to the two classical models of random graphs (a.k.a. Erdős-Rényi random graphs) and discuss the phenomenon of phase transition. We will also discuss thresholds for monotonic properties with examples including connectivity threshold and sub-graph containment threshold.

In the second half of the course we will consider other kind of random graphs. In particular, we will discuss various models for complex networks, including Albert-Barabási preferential attachment models. We will discuss "scale-freeness", asymptotic degree distribution and "small-world phenomenon". Properties of super and sub-linear preferential attachment models and some recent developments in de-preferential attachment models will also be discussed.

If time permits we will also introduce the random geometric graphs and discuss asymptotic of the connectivity threshold.

Seminar

Date/Time: 
Friday, October 13, 2017 - 09:30 to 10:30
Venue: 
SMS Seminar Room
Speaker: 
Antar Bandyopadhyay
Affiliation: 
Indian Statistical Institute, New Delhi
Title: 
TBA

Abstract: TBA

Seminar by Soumalya Joardar

Date/Time: 
Monday, October 16, 2017 - 11:30 to 12:30
Venue: 
Seminar Room, School of Mathematical Sciences
Speaker: 
Soumalya Joardar
Affiliation: 
JNCASR, Bangalore
Title: 
Weyl algebra, Hyperbolic space and Noncommutative Hyperbolic plane

We propose a Weyl system represented on the Hilbert space $L^{2}(\mathbb{H}^{2}, d\mu)$ where $\mathbb{H}^{2}$ is the Hyperbolic plane and $d\mu$ is the corresponding hyperbolic measure. We give four canonical derivations on the algebra and using them propose a Lindbladian which would enable us to study geometric properties of the Weyl algebra.

Conference on Quantum Groups and Noncommutative Geometry

Date/Time: 
Monday, January 15, 2018 - 08:00 to Friday, January 19, 2018 - 20:00
Venue: 
Seminar Room, School of Mathematical Sciences

Contact us

School of Mathematical Sciences

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Tel: +91-674-249-4081

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